Basic Understanding of Slope
In the equation, y = mx + b, what does "m" represent?
What is slope?
The point where a line crosses the y-axis is called this.
What is the y-intercept?
For y = -3x + 7, this is the slope of the equation?
What is -3?
In a word problems, the slope can often be interpreted as this.
What is rate of change?
In y = 5x -4, this number represents the y- intercept.
The slope of a line can be described as this ratio.
What is rise over run?
In the equation y = 3x + 4, the graph crosses the y-axis at this point.
What is (0,4)?
What is the slope in the equation y = 4?
What is 0?
If a car travels at a constant speed, the slope of its distance-time graph indicates this.
What is speed?
A line with zero slope is horizontal and crosses the y-axis at this point of its equation form y = b.
What is the y intercept, b?
Identify the slope of the line passing through the points (2,3) and (5,9).
What is 2?
Plotting points such as (0,1), (1,3) (2,5) typically results in this kind of line.
What is a straight line?
If you rewrite 6x - 2y = 12 to solve for y, you find this slope.
What is 3?
An equation of the form y = 50x represents this, where y is the total cost and x is the number of items.
What is cost per item?
If the slope is 1/4, the equation in slope-intercept form would include this beside x.
What is 1/4?
This term describes the slope of a horizontal line.
What is zero?
Before graphing y = -2x + 1, this operation determines the x-intercept.
What is setting y to zero?
Determine the slope of the line given by 2x + 5y = 10.
What is -2/5?
If a savings account grows by $20 each year, this value is the slope of its balance-time graph.
What is $20/year?
For x=7, the line is vertical and the y intercept is described as this.
What is undefined or nonexistent?
This term describes the slope of a vertical line.
What is undefined?
To graph y = 1/2x - 3, you start at this point on the graph.
What is (0, -3)?
If an equation of a line is 4x + 7 = 6y, this is the slope when the equation is solved for y.
What is 2/3?
In a business context, a slope of -5 in the profit equation indicates this tendency as sales increase.
What is a decrease in profit for each unit sold?
Given the equation y = -3x + 9, the x-intercept can be found by solving for x when this condition is true?
What is y = 0?